0410615 20240111140635.820060210235959.9 Prague IFAC 2001 CD-ROM nonlinear systems Ore rings Roesser model cav_un_auth*0212798 Xia X. SA cav_un_auth*0212799 Márquez-Martínez L. MX cav_un_auth*0101234 Zagalak Petr UTIA-B Department of Adaptive Systems Ústav teorie informace a automatizace AV ČR, v. v. i. cav_un_auth*0212800 Moog C. FR 118 kB 09I GA102/01/0608 GA ČR cav_un_auth*0004074 AV0Z1075907 The paper introduces some concepts of the theory of non-commutative rings into the theory of nonlinear systems with time delays. The left Ore ring of non-commutative polynomials defined over the field of meromorphic functions is studied and some properties of modules over such rings are presented. This approach is then generalized to a special class of nonlinear systems with delays that are called Generalized Roesser Systems. Finally, the theory is used to define and characterize. cav_un_auth*0212788 IFAC/IEEE Symposium on System Structure and Control /1./ Prague CZ 29.08.2001-31.08.2001 BC TŘ http://hdl.handle.net/11104/0130704 UTIA-B 20010084 2001 2001 Prague IFAC 118 kB Preprints of the 1st IFAC/IEEE Symposium on System Structure and Control